%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL647+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:10:30 PM UTC 2026
% Result : CounterSatisfiable 0.14s 0.38s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
~ ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p1(Y)
& ! [X] :
( p1(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p1(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p3(Y)
& ! [X] :
( p1(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p3(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p5(Y)
& ! [X] :
( p1(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p5(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p4(Y)
& ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p6(Y)
& ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p4(Y)
& ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p6(Y)
& ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p4(Y)
& ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p6(Y)
& ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( p5(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p1(Y)
& ! [X] :
( p1(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p1(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p3(Y)
& ! [X] :
( p1(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p3(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p5(Y)
& ! [X] :
( p1(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p5(Y)
& ! [X] :
( p3(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p4(Y)
& ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p6(Y)
& ! [X] :
( p2(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p4(Y)
& ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p6(Y)
& ! [X] :
( p4(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p4(Y)
& ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p6(Y)
& ! [X] :
( p6(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( p5(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
( ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& ? [Y] :
( ~ p2(Y)
& r1(X,Y) )
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( p1(Y)
| ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p1(Y)
| ? [X] :
( ~ p3(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p3(Y)
| ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p3(Y)
| ? [X] :
( ~ p3(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p5(Y)
| ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p5(Y)
| ? [X] :
( ~ p3(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p4(Y)
| ? [X] :
( ~ p2(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p6(Y)
| ? [X] :
( ~ p2(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p4(Y)
| ? [X] :
( ~ p4(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p6(Y)
| ? [X] :
( ~ p4(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p4(Y)
| ? [X] :
( ~ p6(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p6(Y)
| ? [X] :
( ~ p6(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p2(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p5(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ~ p1(sK16_skl)
& r1(sK0_skl,sK16_skl)
& ~ p2(sK15_skl)
& r1(sK0_skl,sK15_skl)
& ~ p3(sK14_skl)
& r1(sK0_skl,sK14_skl)
& ~ p5(sK13_skl)
& r1(sK0_skl,sK13_skl)
& ! [Y] :
( p1(Y)
| ( ~ p1(sK12_skl(Y))
& r1(Y,sK12_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p1(Y)
| ( ~ p3(sK11_skl(Y))
& r1(Y,sK11_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p3(Y)
| ( ~ p1(sK10_skl(Y))
& r1(Y,sK10_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p3(Y)
| ( ~ p3(sK9_skl(Y))
& r1(Y,sK9_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p5(Y)
| ( ~ p1(sK8_skl(Y))
& r1(Y,sK8_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p5(Y)
| ( ~ p3(sK7_skl(Y))
& r1(Y,sK7_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p4(Y)
| ( ~ p2(sK6_skl(Y))
& r1(Y,sK6_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p6(Y)
| ( ~ p2(sK5_skl(Y))
& r1(Y,sK5_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p4(Y)
| ( ~ p4(sK4_skl(Y))
& r1(Y,sK4_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p6(Y)
| ( ~ p4(sK3_skl(Y))
& r1(Y,sK3_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p4(Y)
| ( ~ p6(sK2_skl(Y))
& r1(Y,sK2_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p6(Y)
| ( ~ p6(sK1_skl(Y))
& r1(Y,sK1_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p2(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p5(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p6(X)
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y)),skolemize(X,sK2_skl(Y)),skolemize(X,sK3_skl(Y)),skolemize(X,sK4_skl(Y)),skolemize(X,sK5_skl(Y)),skolemize(X,sK6_skl(Y)),skolemize(X,sK7_skl(Y)),skolemize(X,sK8_skl(Y)),skolemize(X,sK9_skl(Y)),skolemize(X,sK10_skl(Y)),skolemize(X,sK11_skl(Y)),skolemize(X,sK12_skl(Y)),skolemize(Y,sK13_skl),skolemize(Y,sK14_skl),skolemize(Y,sK15_skl),skolemize(Y,sK16_skl)],[f3]) ).
fof(f5,plain,
! [X0,X1] :
( p6(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( p5(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( p4(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0,X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
! [X0] :
( p6(X0)
| r1(X0,sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
! [X0] :
( p6(X0)
| ~ p6(sK1_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0] :
( p4(X0)
| r1(X0,sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0] :
( p4(X0)
| ~ p6(sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0] :
( p6(X0)
| r1(X0,sK3_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0] :
( p6(X0)
| ~ p4(sK3_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0] :
( p4(X0)
| r1(X0,sK4_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0] :
( p4(X0)
| ~ p4(sK4_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
! [X0] :
( p6(X0)
| r1(X0,sK5_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
! [X0] :
( p6(X0)
| ~ p2(sK5_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [X0] :
( p4(X0)
| r1(X0,sK6_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0] :
( p4(X0)
| ~ p2(sK6_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
! [X0] :
( p5(X0)
| r1(X0,sK7_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
! [X0] :
( p5(X0)
| ~ p3(sK7_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
! [X0] :
( p5(X0)
| r1(X0,sK8_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
! [X0] :
( p5(X0)
| ~ p1(sK8_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
! [X0] :
( p3(X0)
| r1(X0,sK9_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
! [X0] :
( p3(X0)
| ~ p3(sK9_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
! [X0] :
( p3(X0)
| r1(X0,sK10_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
! [X0] :
( p3(X0)
| ~ p1(sK10_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
! [X0] :
( p1(X0)
| r1(X0,sK11_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
! [X0] :
( p1(X0)
| ~ p3(sK11_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
! [X0] :
( p1(X0)
| r1(X0,sK12_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
! [X0] :
( p1(X0)
| ~ p1(sK12_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
r1(sK0_skl,sK13_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
~ p5(sK13_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
r1(sK0_skl,sK14_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
~ p3(sK14_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
r1(sK0_skl,sK15_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
~ p2(sK15_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
r1(sK0_skl,sK16_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
~ p1(sK16_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
! [X0] :
( p6(X0)
| ~ r1(sK13_skl,X0) ),
inference(resolution,[status(thm)],[f33,f5]) ).
fof(f42,plain,
! [X0] :
( p6(X0)
| ~ r1(sK14_skl,X0) ),
inference(resolution,[status(thm)],[f35,f5]) ).
fof(f43,plain,
! [X0] :
( p5(X0)
| ~ r1(sK14_skl,X0) ),
inference(resolution,[status(thm)],[f6,f35]) ).
fof(f44,plain,
! [X0] :
( p5(X0)
| ~ r1(sK13_skl,X0) ),
inference(resolution,[status(thm)],[f6,f33]) ).
fof(f45,plain,
! [X0] :
( p4(X0)
| ~ r1(sK14_skl,X0) ),
inference(resolution,[status(thm)],[f7,f35]) ).
fof(f46,plain,
! [X0] :
( p4(X0)
| ~ r1(sK13_skl,X0) ),
inference(resolution,[status(thm)],[f7,f33]) ).
fof(f47,plain,
! [X0] :
( p4(X0)
| ~ r1(sK15_skl,X0) ),
inference(resolution,[status(thm)],[f37,f7]) ).
fof(f48,plain,
! [X0] :
( p5(X0)
| ~ r1(sK15_skl,X0) ),
inference(resolution,[status(thm)],[f37,f6]) ).
fof(f49,plain,
! [X0] :
( p6(X0)
| ~ r1(sK15_skl,X0) ),
inference(resolution,[status(thm)],[f37,f5]) ).
fof(f50,plain,
! [X0] :
( p4(X0)
| ~ r1(sK16_skl,X0) ),
inference(resolution,[status(thm)],[f39,f7]) ).
fof(f51,plain,
! [X0] :
( p5(X0)
| ~ r1(sK16_skl,X0) ),
inference(resolution,[status(thm)],[f39,f6]) ).
fof(f52,plain,
! [X0] :
( p6(X0)
| ~ r1(sK16_skl,X0) ),
inference(resolution,[status(thm)],[f39,f5]) ).
fof(f53,plain,
! [X0] :
( p2(X0)
| ~ r1(sK16_skl,X0) ),
inference(resolution,[status(thm)],[f8,f39]) ).
fof(f54,plain,
! [X0] :
( p2(X0)
| ~ r1(sK15_skl,X0) ),
inference(resolution,[status(thm)],[f8,f37]) ).
fof(f55,plain,
! [X0] :
( p2(X0)
| ~ r1(sK14_skl,X0) ),
inference(resolution,[status(thm)],[f8,f35]) ).
fof(f56,plain,
! [X0] :
( p2(X0)
| ~ r1(sK13_skl,X0) ),
inference(resolution,[status(thm)],[f8,f33]) ).
fof(f57,plain,
( p6(sK16_skl)
| r1(sK16_skl,sK1_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f9,f39]) ).
fof(f58,plain,
( p6(sK15_skl)
| r1(sK15_skl,sK1_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f9,f37]) ).
fof(f59,plain,
( p6(sK14_skl)
| r1(sK14_skl,sK1_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f9,f35]) ).
fof(f60,plain,
( p6(sK13_skl)
| r1(sK13_skl,sK1_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f9,f33]) ).
fof(f61,definition,
( sQ0_spl
<=> r1(sK16_skl,sK1_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f62,plain,
( ~ sQ0_spl
| r1(sK16_skl,sK1_skl(sK16_skl)) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,definition,
( sQ1_spl
<=> p6(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( ~ sQ1_spl
| p6(sK16_skl) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f61,f64]) ).
fof(f68,definition,
( sQ2_spl
<=> r1(sK15_skl,sK1_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( ~ sQ2_spl
| r1(sK15_skl,sK1_skl(sK15_skl)) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
( sQ3_spl
<=> p6(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( ~ sQ3_spl
| p6(sK15_skl) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f58,f68,f71]) ).
fof(f75,definition,
( sQ4_spl
<=> r1(sK14_skl,sK1_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( ~ sQ4_spl
| r1(sK14_skl,sK1_skl(sK14_skl)) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,definition,
( sQ5_spl
<=> p6(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ5_spl
| p6(sK14_skl) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f59,f75,f78]) ).
fof(f82,definition,
( sQ6_spl
<=> r1(sK13_skl,sK1_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ6_spl
| r1(sK13_skl,sK1_skl(sK13_skl)) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,definition,
( sQ7_spl
<=> p6(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ7_spl
| p6(sK13_skl) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f60,f82,f85]) ).
fof(f89,plain,
( p4(sK16_skl)
| r1(sK16_skl,sK2_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f11,f39]) ).
fof(f90,plain,
( p4(sK15_skl)
| r1(sK15_skl,sK2_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f11,f37]) ).
fof(f91,plain,
( p4(sK14_skl)
| r1(sK14_skl,sK2_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f11,f35]) ).
fof(f92,plain,
( p4(sK13_skl)
| r1(sK13_skl,sK2_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f11,f33]) ).
fof(f93,definition,
( sQ8_spl
<=> r1(sK16_skl,sK2_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ8_spl
| r1(sK16_skl,sK2_skl(sK16_skl)) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
( sQ9_spl
<=> p4(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ9_spl
| p4(sK16_skl) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f89,f93,f96]) ).
fof(f100,definition,
( sQ10_spl
<=> r1(sK15_skl,sK2_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ10_spl
| r1(sK15_skl,sK2_skl(sK15_skl)) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
( sQ11_spl
<=> p4(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ11_spl
| p4(sK15_skl) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f90,f100,f103]) ).
fof(f107,definition,
( sQ12_spl
<=> r1(sK14_skl,sK2_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ12_spl
| r1(sK14_skl,sK2_skl(sK14_skl)) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,definition,
( sQ13_spl
<=> p4(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ13_spl
| p4(sK14_skl) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f91,f107,f110]) ).
fof(f114,definition,
( sQ14_spl
<=> r1(sK13_skl,sK2_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ14_spl
| r1(sK13_skl,sK2_skl(sK13_skl)) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ15_spl
<=> p4(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ15_spl
| p4(sK13_skl) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f92,f114,f117]) ).
fof(f121,plain,
( p6(sK16_skl)
| r1(sK16_skl,sK3_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f13,f39]) ).
fof(f122,plain,
( p6(sK15_skl)
| r1(sK15_skl,sK3_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f13,f37]) ).
fof(f123,plain,
( p6(sK14_skl)
| r1(sK14_skl,sK3_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f13,f35]) ).
fof(f124,plain,
( p6(sK13_skl)
| r1(sK13_skl,sK3_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f13,f33]) ).
fof(f125,definition,
( sQ16_spl
<=> r1(sK16_skl,sK3_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( sQ1_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f121,f125,f64]) ).
fof(f129,definition,
( sQ17_spl
<=> r1(sK15_skl,sK3_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( sQ3_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f122,f129,f71]) ).
fof(f133,definition,
( sQ18_spl
<=> r1(sK14_skl,sK3_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( sQ5_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f123,f133,f78]) ).
fof(f137,definition,
( sQ19_spl
<=> r1(sK13_skl,sK3_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ7_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f124,f137,f85]) ).
fof(f141,plain,
( p4(sK16_skl)
| r1(sK16_skl,sK4_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f15,f39]) ).
fof(f142,plain,
( p4(sK15_skl)
| r1(sK15_skl,sK4_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f15,f37]) ).
fof(f143,plain,
( p4(sK14_skl)
| r1(sK14_skl,sK4_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f15,f35]) ).
fof(f144,plain,
( p4(sK13_skl)
| r1(sK13_skl,sK4_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f15,f33]) ).
fof(f145,definition,
( sQ20_spl
<=> r1(sK16_skl,sK4_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ9_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f141,f145,f96]) ).
fof(f149,definition,
( sQ21_spl
<=> r1(sK15_skl,sK4_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( sQ11_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f142,f149,f103]) ).
fof(f153,definition,
( sQ22_spl
<=> r1(sK14_skl,sK4_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( sQ13_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f143,f153,f110]) ).
fof(f157,definition,
( sQ23_spl
<=> r1(sK13_skl,sK4_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ15_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f144,f157,f117]) ).
fof(f161,plain,
( p6(sK16_skl)
| r1(sK16_skl,sK5_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f17,f39]) ).
fof(f162,plain,
( p6(sK15_skl)
| r1(sK15_skl,sK5_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f17,f37]) ).
fof(f163,plain,
( p6(sK14_skl)
| r1(sK14_skl,sK5_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f17,f35]) ).
fof(f164,plain,
( p6(sK13_skl)
| r1(sK13_skl,sK5_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f17,f33]) ).
fof(f165,definition,
( sQ24_spl
<=> r1(sK16_skl,sK5_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( sQ1_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f161,f165,f64]) ).
fof(f169,definition,
( sQ25_spl
<=> r1(sK15_skl,sK5_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( sQ3_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f162,f169,f71]) ).
fof(f173,definition,
( sQ26_spl
<=> r1(sK14_skl,sK5_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ5_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f163,f173,f78]) ).
fof(f177,definition,
( sQ27_spl
<=> r1(sK13_skl,sK5_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( sQ7_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f164,f177,f85]) ).
fof(f181,plain,
( p4(sK16_skl)
| r1(sK16_skl,sK6_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f19,f39]) ).
fof(f182,plain,
( p4(sK15_skl)
| r1(sK15_skl,sK6_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f19,f37]) ).
fof(f183,plain,
( p4(sK14_skl)
| r1(sK14_skl,sK6_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f19,f35]) ).
fof(f184,plain,
( p4(sK13_skl)
| r1(sK13_skl,sK6_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f19,f33]) ).
fof(f185,definition,
( sQ28_spl
<=> r1(sK16_skl,sK6_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( sQ9_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f181,f185,f96]) ).
fof(f189,definition,
( sQ29_spl
<=> r1(sK15_skl,sK6_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ11_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f182,f189,f103]) ).
fof(f193,definition,
( sQ30_spl
<=> r1(sK14_skl,sK6_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( sQ13_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f183,f193,f110]) ).
fof(f197,definition,
( sQ31_spl
<=> r1(sK13_skl,sK6_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ15_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f184,f197,f117]) ).
fof(f201,plain,
( p5(sK16_skl)
| r1(sK16_skl,sK7_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f21,f39]) ).
fof(f202,plain,
( p5(sK15_skl)
| r1(sK15_skl,sK7_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f21,f37]) ).
fof(f203,plain,
( p5(sK14_skl)
| r1(sK14_skl,sK7_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f21,f35]) ).
fof(f204,plain,
( p5(sK13_skl)
| r1(sK13_skl,sK7_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f21,f33]) ).
fof(f205,definition,
( sQ32_spl
<=> r1(sK16_skl,sK7_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ32_spl
| r1(sK16_skl,sK7_skl(sK16_skl)) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ33_spl
<=> p5(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ33_spl
| p5(sK16_skl) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f201,f205,f208]) ).
fof(f212,definition,
( sQ34_spl
<=> r1(sK15_skl,sK7_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ34_spl
| r1(sK15_skl,sK7_skl(sK15_skl)) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ35_spl
<=> p5(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ35_spl
| p5(sK15_skl) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f202,f212,f215]) ).
fof(f219,definition,
( sQ36_spl
<=> r1(sK14_skl,sK7_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ36_spl
| r1(sK14_skl,sK7_skl(sK14_skl)) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ37_spl
<=> p5(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ37_spl
| p5(sK14_skl) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f203,f219,f222]) ).
fof(f226,definition,
( sQ38_spl
<=> r1(sK13_skl,sK7_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ38_spl
| r1(sK13_skl,sK7_skl(sK13_skl)) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ39_spl
<=> p5(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ39_spl
| p5(sK13_skl) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f204,f226,f229]) ).
fof(f233,plain,
( p5(sK16_skl)
| r1(sK16_skl,sK8_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f23,f39]) ).
fof(f234,plain,
( p5(sK15_skl)
| r1(sK15_skl,sK8_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f23,f37]) ).
fof(f235,plain,
( p5(sK14_skl)
| r1(sK14_skl,sK8_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f23,f35]) ).
fof(f236,plain,
( p5(sK13_skl)
| r1(sK13_skl,sK8_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f23,f33]) ).
fof(f237,definition,
( sQ40_spl
<=> r1(sK16_skl,sK8_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( sQ33_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f233,f237,f208]) ).
fof(f241,definition,
( sQ41_spl
<=> r1(sK15_skl,sK8_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( sQ35_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f234,f241,f215]) ).
fof(f245,definition,
( sQ42_spl
<=> r1(sK14_skl,sK8_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( sQ37_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f235,f245,f222]) ).
fof(f249,definition,
( sQ43_spl
<=> r1(sK13_skl,sK8_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ43_spl
| r1(sK13_skl,sK8_skl(sK13_skl)) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( sQ39_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f236,f249,f229]) ).
fof(f253,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f34]) ).
fof(f254,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( p3(sK16_skl)
| r1(sK16_skl,sK9_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f25,f39]) ).
fof(f256,plain,
( p3(sK15_skl)
| r1(sK15_skl,sK9_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f25,f37]) ).
fof(f257,plain,
( p3(sK14_skl)
| r1(sK14_skl,sK9_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f25,f35]) ).
fof(f258,plain,
( p3(sK13_skl)
| r1(sK13_skl,sK9_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f25,f33]) ).
fof(f259,definition,
( sQ44_spl
<=> r1(sK16_skl,sK9_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ44_spl
| r1(sK16_skl,sK9_skl(sK16_skl)) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ45_spl
<=> p3(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ45_spl
| p3(sK16_skl) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f255,f259,f262]) ).
fof(f266,definition,
( sQ46_spl
<=> r1(sK15_skl,sK9_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ46_spl
| r1(sK15_skl,sK9_skl(sK15_skl)) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ47_spl
<=> p3(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ47_spl
| p3(sK15_skl) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( sQ47_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f256,f266,f269]) ).
fof(f273,definition,
( sQ48_spl
<=> r1(sK14_skl,sK9_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ48_spl
| r1(sK14_skl,sK9_skl(sK14_skl)) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ49_spl
<=> p3(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ49_spl
| p3(sK14_skl) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f257,f273,f276]) ).
fof(f280,definition,
( sQ50_spl
<=> r1(sK13_skl,sK9_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ50_spl
| r1(sK13_skl,sK9_skl(sK13_skl)) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ51_spl
<=> p3(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ51_spl
| p3(sK13_skl) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f258,f280,f283]) ).
fof(f287,plain,
( p3(sK16_skl)
| r1(sK16_skl,sK10_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f27,f39]) ).
fof(f288,plain,
( p3(sK15_skl)
| r1(sK15_skl,sK10_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f27,f37]) ).
fof(f289,plain,
( p3(sK14_skl)
| r1(sK14_skl,sK10_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f27,f35]) ).
fof(f290,plain,
( p3(sK13_skl)
| r1(sK13_skl,sK10_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f27,f33]) ).
fof(f291,definition,
( sQ52_spl
<=> r1(sK16_skl,sK10_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ45_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f287,f291,f262]) ).
fof(f295,definition,
( sQ53_spl
<=> r1(sK15_skl,sK10_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ47_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f288,f295,f269]) ).
fof(f299,definition,
( sQ54_spl
<=> r1(sK14_skl,sK10_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ54_spl
| r1(sK14_skl,sK10_skl(sK14_skl)) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( sQ49_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f289,f299,f276]) ).
fof(f303,definition,
( sQ55_spl
<=> r1(sK13_skl,sK10_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ51_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f290,f303,f283]) ).
fof(f307,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f36]) ).
fof(f308,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f307]) ).
fof(f309,plain,
( p1(sK16_skl)
| r1(sK16_skl,sK11_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f29,f39]) ).
fof(f310,plain,
( p1(sK15_skl)
| r1(sK15_skl,sK11_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f29,f37]) ).
fof(f311,plain,
( p1(sK14_skl)
| r1(sK14_skl,sK11_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f29,f35]) ).
fof(f312,plain,
( p1(sK13_skl)
| r1(sK13_skl,sK11_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f29,f33]) ).
fof(f313,definition,
( sQ56_spl
<=> r1(sK16_skl,sK11_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ56_spl
| r1(sK16_skl,sK11_skl(sK16_skl)) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ57_spl
<=> p1(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ57_spl
| p1(sK16_skl) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f309,f313,f316]) ).
fof(f320,definition,
( sQ58_spl
<=> r1(sK15_skl,sK11_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ58_spl
| r1(sK15_skl,sK11_skl(sK15_skl)) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ59_spl
<=> p1(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ59_spl
| p1(sK15_skl) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ59_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f310,f320,f323]) ).
fof(f327,definition,
( sQ60_spl
<=> r1(sK14_skl,sK11_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ60_spl
| r1(sK14_skl,sK11_skl(sK14_skl)) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ61_spl
<=> p1(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ61_spl
| p1(sK14_skl) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f311,f327,f330]) ).
fof(f334,definition,
( sQ62_spl
<=> r1(sK13_skl,sK11_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ62_spl
| r1(sK13_skl,sK11_skl(sK13_skl)) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ63_spl
<=> p1(sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ63_spl
| p1(sK13_skl) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( sQ63_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f312,f334,f337]) ).
fof(f341,plain,
( p1(sK16_skl)
| r1(sK16_skl,sK12_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f31,f39]) ).
fof(f342,plain,
( p1(sK15_skl)
| r1(sK15_skl,sK12_skl(sK15_skl)) ),
inference(resolution,[status(thm)],[f31,f37]) ).
fof(f343,plain,
( p1(sK14_skl)
| r1(sK14_skl,sK12_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f31,f35]) ).
fof(f344,plain,
( p1(sK13_skl)
| r1(sK13_skl,sK12_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f31,f33]) ).
fof(f345,definition,
( sQ64_spl
<=> r1(sK16_skl,sK12_skl(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ64_spl
| r1(sK16_skl,sK12_skl(sK16_skl)) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( sQ57_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f341,f345,f316]) ).
fof(f349,definition,
( sQ65_spl
<=> r1(sK15_skl,sK12_skl(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( sQ59_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f342,f349,f323]) ).
fof(f353,definition,
( sQ66_spl
<=> r1(sK14_skl,sK12_skl(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( sQ61_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f343,f353,f330]) ).
fof(f357,definition,
( sQ67_spl
<=> r1(sK13_skl,sK12_skl(sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f344,f357,f337]) ).
fof(f361,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f317,f40]) ).
fof(f362,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( ~ sQ38_spl
| p2(sK7_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f227,f56]) ).
fof(f364,plain,
( ~ sQ38_spl
| p4(sK7_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f227,f46]) ).
fof(f365,plain,
( ~ sQ38_spl
| p5(sK7_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f227,f44]) ).
fof(f366,plain,
( ~ sQ38_spl
| p6(sK7_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f227,f41]) ).
fof(f367,plain,
( ~ sQ43_spl
| p2(sK8_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f250,f56]) ).
fof(f368,plain,
( ~ sQ43_spl
| p4(sK8_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f250,f46]) ).
fof(f369,plain,
( ~ sQ43_spl
| p5(sK8_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f250,f44]) ).
fof(f370,plain,
( ~ sQ43_spl
| p6(sK8_skl(sK13_skl)) ),
inference(resolution,[status(thm)],[f250,f41]) ).
fof(f371,plain,
( ~ sQ48_spl
| p2(sK9_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f274,f55]) ).
fof(f372,plain,
( ~ sQ48_spl
| p4(sK9_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f274,f45]) ).
fof(f373,plain,
( ~ sQ48_spl
| p5(sK9_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f274,f43]) ).
fof(f374,plain,
( ~ sQ48_spl
| p6(sK9_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f274,f42]) ).
fof(f375,plain,
( ~ sQ54_spl
| p2(sK10_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f300,f55]) ).
fof(f376,plain,
( ~ sQ54_spl
| p4(sK10_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f300,f45]) ).
fof(f377,plain,
( ~ sQ54_spl
| p5(sK10_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f300,f43]) ).
fof(f378,plain,
( ~ sQ54_spl
| p6(sK10_skl(sK14_skl)) ),
inference(resolution,[status(thm)],[f300,f42]) ).
fof(f379,plain,
( ~ sQ56_spl
| p2(sK11_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f314,f53]) ).
fof(f380,plain,
( ~ sQ56_spl
| p6(sK11_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f314,f52]) ).
fof(f381,plain,
( ~ sQ56_spl
| p5(sK11_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f314,f51]) ).
fof(f382,plain,
( ~ sQ56_spl
| p4(sK11_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f314,f50]) ).
fof(f383,plain,
( ~ sQ64_spl
| p2(sK12_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f346,f53]) ).
fof(f384,plain,
( ~ sQ64_spl
| p6(sK12_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f346,f52]) ).
fof(f385,plain,
( ~ sQ64_spl
| p5(sK12_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f346,f51]) ).
fof(f386,plain,
( ~ sQ64_spl
| p4(sK12_skl(sK16_skl)) ),
inference(resolution,[status(thm)],[f346,f50]) ).
fof(model,axiom,
( sQ1_spl
| sQ3_spl
| sQ5_spl
| sQ7_spl
| sQ9_spl
| sQ11_spl
| sQ13_spl
| sQ15_spl
| sQ33_spl
| sQ35_spl
| sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| sQ43_spl
| sQ45_spl
| sQ47_spl
| sQ48_spl
| ~ sQ49_spl
| sQ51_spl
| sQ54_spl
| sQ56_spl
| ~ sQ57_spl
| sQ59_spl
| sQ61_spl
| sQ63_spl
| sQ64_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL647+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 00:44:40 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.38 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.14/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.042911 seconds
% 0.14/0.41 % CPU time: 0.129955 seconds
% 0.14/0.41 % Total memory used: 17.792 MB
% 0.14/0.41 % Net memory used: 17.570 MB
%------------------------------------------------------------------------------